The letters of the word "MATRICULATION" are cut and put into a box. find the probability that a vowel would be drawn.
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Correct Answer: Option C
Explanation:
To find the probability of drawing a vowel from the letters of the word "MATRICULATION," follow these steps:
1. Count the total number of letters in "MATRICULATION":
- The word "MATRICULATION" has 11 letters.
2. Identify and count the vowels in the word:
- Vowels in "MATRICULATION" are: A, I, U, A, I, O (6 vowels).
3. Calculate the probability:
- Probability = \(\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\)
Here, the number of favorable outcomes (vowels) is 6, and the total number of letters is 11.
\[
\text{Probability} = \frac{6}{11}
\]
So, the probability that a vowel would be drawn is \(\frac{6}{11}\).
To find the probability of drawing a vowel from the letters of the word "MATRICULATION," follow these steps:
1. Count the total number of letters in "MATRICULATION":
- The word "MATRICULATION" has 11 letters.
2. Identify and count the vowels in the word:
- Vowels in "MATRICULATION" are: A, I, U, A, I, O (6 vowels).
3. Calculate the probability:
- Probability = \(\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\)
Here, the number of favorable outcomes (vowels) is 6, and the total number of letters is 11.
\[
\text{Probability} = \frac{6}{11}
\]
So, the probability that a vowel would be drawn is \(\frac{6}{11}\).